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Finding the Fourth Proportional to 144.88, 200.37 and 125.23

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Solution

The fourth proportional to 144.88, 200.37 and 125.23 is: 173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.88 : 200.37 = 125.23 : x
  2. Step 2: Convert to fraction form
    144.88/200.37 = 125.23/x
  3. Step 3: Cross multiply
    144.88x = 200.37 × 125.23
  4. Step 4: Simplify right side
    144.88x = 25,092.34
  5. Step 5: Solve for x
    x = 25,092.34/144.88
  6. Step 6: Final answer
    x = 173.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.